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  1. Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers

    03 Mar 2018 | Free Online Texts | Contributor(s): Russell L. Herman

    Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers. Text book. 369 pp. http://people.uncw.edu/hermanr/mat361/ODEBook/ODE1.pdf . Accessed 2 March 2018.This is a self-published text book with excellent coverage and solid mathematics and theory to support...

  2. 2007-Bellomo EtAl-LectureNotes-MathModelingInAppliedScience

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Nicola Bellomo

    Bellomo, Nicola , Elena De Angelis, and Marcello Delitala. 2007.  Lecture Notes on Mathematical Modelling in Applied Sciences, Lecture Notes. 168 pp.From the Opening of the Notes:The Lecture Notes collected in this book refer to a university course delivered at the Politecnico of Torino to...

  3. Hohenauer-Physical modelling based on first order ODEs

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): W. Hohenauer

    Hohenauer, W.  Physical modelling based on first order ODEs. Notes. 22 pp.http://www.phox.at/upload/Physical%20modelling%20based%20on%20first%20order%20ODEs%20(v1.3).pdf . Accessed 3 March 2018.Abstract:  An introduction in techniques to solve first order ODE´s is given....

  4. 2003-RasmussenKeynes-LinesOfEigenVectorsSolutionsToSytemsOfLinearDifferentialEquations

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Chris Rasmussen, Michael Keynes

    Rasmussen, Chris and  Michael Keynes. 2003. Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations.  PRIMUS. 13(4): 308-320.Abstract: The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of...

  5. 2011-Gaff EtAl-OptimalControlManagementTickBorneDisease

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Holly D. Gaff

    Gaff, Holly D., Elsa Schaefer, and Suzanne Lenhart. 2011. Use of optimal control models to predict treatment time for managing tick-borne disease. Journal of Biological Dynamics. 5(5): 517-530Abstract:  Tick-borne diseases have been on the rise recently, and correspondingly, there is an...

  6. LionAntelopeChasing

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Unknown

    Lion chases down an Antelope (source unknown)From the document,“Suppose an antelope is running along a straight path at a constant speed k. Without loss of generality suppose he is running along the x axis.“A lion starts chasing the antelope at a speed 2k in such a way that the...

  7. 2009-Das EtAl BioeconomicHarvesting-JBioDynamics

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Tapasi Das

    Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur. 2009. Bioeconomic harvesting of a pre-predator fishery. Journal of Biological Dynamics. 3(5): 447-462.Abstract: This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate...

  8. Approximating cosine and sine functions numerically

    01 Mar 2018 | Articles and Publications | Contributor(s): Hans Rudolf Schneebeli

    Abstract:How can function values ​​for sine or cosine be quickly and reliably numerically estimated?  We consider equal circular motions on the unit circle in the complex plane and find sine and cosine as solutions of a differential equation. The two functions can be numerically...

  9. Two competing populations: simulations with differential equations

    01 Mar 2018 | Articles and Publications | Contributor(s): Hans Rudolf Schneebeli, Claudio Marsan

    Abstract: Suppose two populations are competing with each other. How can they then develop? We offer insights with simulation calculations. In the model is the evolution of the biomass of the two populations described with differential equations. A fundamental building block is the logistic...

  10. Population Modeling

    01 Mar 2018 | Articles and Publications | Contributor(s): Hans Rudolf Schneebeli, Claudio Marsan

    This paper offers many problems inolving a single population model while introducing several specific models. Both numerical methods and qualitative anlyses are offered.The paper is in German and is entitled, "Populationsmodelle: Eine Einführung in Differentialgleichungen."Hans R....

  11. Modeling Falling Bodies

    01 Mar 2018 | Articles and Publications | Contributor(s): Hans Rudolf Schneebeli

    Modelling falling bodies is discussed using a computer algebra system-calculator and introducing various traditional and elementary methods from calculus as well as  numerics for dealing with the resulting ordinary differential equations.This article is in German under the title,...

  12. SCUDEM II 2018 Modeling Problems and Team Submissions

    10 Feb 2018 | General Resources | Contributor(s): Brian Winkel

    SCUDEM II 2018 PROBLEMS AND SUPPLEMENTAL ISSUESHere you will find one PDF document, SCUDEM II 2018 Problems A B C.pdf - as black box Download pdf  above, containing all three of the Modeling Problems for use in SCUDEM II 2018, along with a reference paper for one of the problems....

  13. 1-079-S-HomeHeating

    30 Jan 2018 | Modeling Scenarios | Contributor(s): Kurt Bryan

    This project concerns the heating of a house. In particular, if one is going away for awhile, is it more economical to leave a house at a desired temperature or reheat it upon return? Both scenarios are analyzed in a series of exercises.

  14. Modeling the Opioid Epidemic in the United States

    19 Jan 2018 | Potential Scenario Ideas | Contributor(s): Brian Winkel, Bill Skerbitz

    Bill Skerbitz, Wayzata High School, Plymouth MN USA, passed this along as an idea for a Modeling Scenario."When I met with Bev West,  Emerita Ithaca College, Ithaca NY USA, she mentioned that they plan on putting out a special issue of the CODEE journal that is focused on matters of...

  15. Dina Yagodich - Sneaking in LaTeX

    19 Jan 2018 | Presentations | Contributor(s): Dina Yagodich

    Sneaking in LaTeXBy Dina Yagodich, Frederick Community CollegeThis talk was part of a different COntributed Paper Session, but was deemed appropriate to list here as the presenter was an organizer of the AMS Special Session on Modeling in Differential Equations - High School, Two-Year...

  16. Yagodich, Winkel, Skerbitz, Harwood - Panel - Experience with Engaging in Modeling in a Differential

    19 Jan 2018 | Presentations | Contributor(s): Brian Winkel, Dina Yagodich, Richard Corban Harwood, Bill Skerbitz

    Panel - Experience with Engaging in Modeling in a DifferentialBy Dina Yagodich, Frederick Community Colllege;  Brian Winkel, SIMIODE; Bill Skerbitz, Wayzata High School;  Corban Harwood, George Fox University.A panelgiven at the AMS Special Session on Modeling in Differential Equations...

  17. Corban Harwood - Managing Project Logistics in Teaching Differential Equations

    19 Jan 2018 | Presentations | Contributor(s): Richard Corban Harwood

    Managing Project Logistics in Teaching Differential EquationsByCorban Harwood -, George Fox University.A talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at Joint Mathematics Meetings, San Diego CA, 9-13 January 2018.

  18. Jennifer Czocher - What outcomes might we anticipate from students engaging concurrently with modeling and differential equations content?

    19 Jan 2018 | Presentations | Contributor(s): Jennifer Czocher

    What outcomes might we anticipate from students engaging concurrently with modeling and differential equations content?ByJennifer Czocher, Texas State University - San Marcos.A talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year...

  19. Farley and Tiffany - Time to Change our Traditional Differential Equations

    19 Jan 2018 | Presentations | Contributor(s): Patrice Geary Tiffany, Rosemary Carroll Farley

    Time to Change our Traditional Differential Equations By  Rosemary Farley and Patrice Tiffany, Manhattan College.A talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at Joint Mathematics Meetings, San Diego...

  20. Nathan Pennington - Modeling in an Integrated Mathematics and Physics Course

    19 Jan 2018 | Presentations | Contributor(s): Nathan Pennington

    Modeling in an Integrated Mathematics and Physics CourseBy Nathan Pennington, Creighton University. A talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at Joint Mathematics Meetings, San Diego CA, 9-13...